Elliptic partial differential-algebraic multiphysics models in electrical network design. (English) Zbl 1046.94519
Summary: In refined network analysis, a compact network model is combined with distributed models for semiconductor devices in a multiphysics approach. For linear RLC networks containing diodes as distributed devices, we construct a mathematical model that combines the differential-algebraic network equations of the circuit with elliptic boundary value problems modeling the diodes. A first existence result is given for this mixed initial-boundary value problem of partial differential-algebraic equations.
MSC:
| 94C99 | Circuits, networks |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 82D37 | Statistical mechanics of semiconductors |
Keywords:
RLC networks; modified network analysis; semiconductors; drift-diffusion equations; coupled systems; partial differential-algebraic equationsReferences:
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